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##### 4. Prove that the altitudes of a triangle are concurrent.

2. Where will be the centre of a circle passing through three non-collinear points? And why?

5. In the given congruent triangles LMO and LNO

1. Prove that the bisectors of the angles of base of an isoscles triangle intersect each other on its altitude.

4. If the given triangle \mathrm{ABC} is equilateral triangle and \overline{\mathrm{AD}} is bisector of angle \mathrm{A} then find the values of unknowns x^{\circ} \dot{y}^{\circ} and z^{\circ} .

2. The bisectors of \angle \mathrm{A} \angle \mathrm{B} and \angle \mathrm{C} of a rilateral \mathrm{ABCP} meet each other at point \mathrm{O} . Prove that the bisector of \angle \mathrm{P} will also pass through the point \mathrm{O} .

2. If \overleftarrow{\mathrm{CD}} is right bisector of line segment \overline{\mathrm{AB}} then(ii) \mathrm{m} \overline{\mathrm{AQ}}=